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$f$ and $g$ are defined by the following tables. Use the tables to evaluate each composite function.$$f(g(4))$$...

Question

$f$ and $g$ are defined by the following tables. Use the tables to evaluate each composite function.$$f(g(4))$$

$f$ and $g$ are defined by the following tables. Use the tables to evaluate each composite function. $$ f(g(4)) $$



Answers

In Exercises 53–58, f and g are defined by the following tables. Use the tables to evaluate each composite function.
$$\begin{array}{|r|r|} \hline{x} & {f(x)} \\ \hline{-1} & {1} \\ \hline{0} & {4} \\ \hline{1} & {5} \\ \hline{2} & {-1} \\ \hline\end{array}$$
$$\begin{array}{|r|r|}\hline{x} & {g(x)} \\ \hline{-1} & {0} \\ \hline{1} & {1} \\ \hline{4} & {2} \\ \hline{10} & {-1}\\ \hline \end{array}$$
$$f(g(1))$$

This is our question. Remember, before we need to really write a book to your four. For that we need to find G 04 So, Keogh for that means find the red You G when X is equal to or on the table began. See, when X is equal to four on the value off G. That is too. So they can say d'oh for record, right? Your key Or for antes do now a photo which means find the radio went X is equal to from the table. You can see when X is equal to and the video F Wheaties minus one So f off to which is equal. This what they're for. Our answer is for you. For the court, This one. All right. Thank you.

To find f of g of one. The first thing I do is look and figure out what g of oneness. Looking at the table for the G of X function when X is one g of one is equal toe one. Now I take this and plug it into the F function. So now I want to know what is the function of one. I now go to the table to the f of X function. I look when X is one and I see after Vex at one is equal to five.

To find f of G before the first thing I do is use the tables to determine what G of four is equal to. Looking at the table for the G of X function. I goto where access for and I see that GF four is equal to now I'm going to find f of to So now I go to the table for f of X. I look to see when access to what does f of X equal and it equals negative one. So f of G of four is equal to negative one.

To find G of f of negative one. I'm first going to start by finding f of negative one to do this. I look at the table for the EPA, vexed and I go to where X is negative one and I c f of x at negative one is equal to positive one. Now I'm going to find G of positive one g of positive one looking at the g of X table. Going to where excess positive one i c equals positive one so g of f of negative one is equal to positive.


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